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<article class="li"><h4 class="heading">
<span class="type">Item</span><span class="space"> </span><span class="codenumber">2</span><span class="period">.</span>
</h4>
<p>Apply the Integration property to obtain</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
\begin{aligned}
x(t)&amp;=&amp;\int_0^t \left(  -e^{-2\theta}+e^{-\theta} \right) \, d\theta\\
&amp;=&amp; \left[\frac{1}{2}e^{-2\theta}-e^{-\theta} \right]_0^t\\
&amp;=&amp;\frac{1}{2}e^{-2t}-e^{-t} -\frac{1}{2}+1\\
&amp;=&amp;\frac{1}{2}e^{-2t}-e^{-t} +\frac{1}{2}.
\end{aligned}
\end{equation*}
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